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Explanation:
Subtract the second equation from the first one
[tex]\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5[/tex]
Let's call that result equation 4.
Now focus on equation 3 and equation 4
equation 3 is -x+7y-6z = 2
equation 4 is -x+7y-6z = 5
Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.
which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )
Answer:
(1,-13) (4,-1) (7,11)
Step-by-step explanation:
Those are all the correct order pairs!!
hope this helps!
Which one of these is a factor in this equation?
Answer:
A
Step-by-step explanation:
Because when a expression or number is multiplied by another expression or number it makes a equation
What is the result of solving this equation for x?
y−b=m(x−a)
Answer:
( y-b) / m +a = x
Step-by-step explanation:
y−b=m(x−a)
Divide each side by m
(y−b)m=m/m(x−a)
( y-b)/m = x-a
Add a to each side
( y-b) / m +a = x-a+a
( y-b) / m +a = x
Answer:
y − b = m(x − a)
y − b = mx - ma
(y - b) / m = x - a
((y-b)/m) + a = x
what is the next number on the sequence 6,13,20,27?
Answer:
34
Step-by-step explanation: goes up in 7's
PLSSS HELP ME!!!!! I WILL!!!! MARK!!!!!
Answer:
23.1
Step-by-step explanation:
(4.2)(11)(0.5)
3/4(x+8) > 1/2(2x+10)
Solve the following system using substitution.
6x + 3y= - 12
y= -2x -6
(3,-12)
no solution
infinitely many solutions
(2,0)
Answer:
No solution
Step-by-step explanation:
if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.
The graph of a function is shown below 8 Which inequality represents the domain of the function?
(−2,−3) after a translation right 2 units and up 4 units?
Answer:
(0,1)
Step-by-step explanation:
moving right 2 units makes it (0,-3)
moving up 4 units makes it (0,1)
What is 32 squared root
Answer: 4√2
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Try multiplying 4*4*2 = 32. So you would bunch up those two 4's and so it would be the front of the answer. Then you would square root 2 because it is remaining.
~I hope I helped you! :)~
place the following in order least to greatest
square root of 11
square root of 40
6
5
Answer:
sqaure root of 11
5
6
square root of 40
Step-by-step explanation:
square root of 11- 3.31
sqaure root of 40- 6.32
6
5
hope this helps :)
Evaluate [7] + | - 3|
Answer:
=[7]+|-3| solve for the absolute value {-3 ->3}
=7+3
=10
Answer:
10
Step-by-step explanation:
Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.
The absolute value is the distance from 0.
So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.
So 7 + 3 = 10.
Simplify 15+(2/3x)−7−(5/6x).
PS
The / is not a division sign. 2/3 and 5/6 are fractions
in which quadrant does (-3, -1.5) and (-3, 8.5) lie?
Answer:
The first one would be the third one and the second one would be the second one.
Step-by-step explanation:
The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)
What is the value of h in the figure
below?
Answer:
12
Step-by-step explanation:
according to the pythagorous theorem
A laptop computer at Best Buy costs $1250. The sales tax in Virginia is 5.3%. How much will you pay in total for the laptop including tax?
Answer:
66,25
Step-by-step explanation:
Answer:
$1316.25
Step-by-step explanation:
1250 * 5.3% = 66.25
1250 + 66.25 = 1316.25
Richard had his car repaired at a body shop.
The parts cost $100.
The technician charged $52 per hour.
. His total bill was $308.
How many hours did the technician work on Richard's car?
Answer:
5.9 hours
Step-by-step explanation:
Keiko runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
4.8 miles
Step-by-step explanation:
Set up a ratio, Kelvin.
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
Solve
7 1/2 ÷ (4 1/2 - 5 1/8)
Answer:
-12
Step-by-step explanation:
Answer:
[tex] \frac{71}{2} \div ( \frac{41}{2} - \frac{51}{8} )[/tex]
[tex] \frac{71}{2} \div ( \frac{164 - 51}{8} )[/tex]
[tex] \frac{71}{2} \div \frac{113}{8} [/tex]
[tex] \frac{71}{2} \times \frac{8}{113} [/tex]
[tex] \frac{284}{113} [/tex]
Help urgent!!!!!!!!!!!
Answer:
X= -5x hope this helped :)
A juice shop uses 1/2 of a bag of oranges to make 5 glasses of orange juice. What fraction of a bag of oranges did the shop use to make one glass?
Answer: 0.1 OR 1/10
Step-by-step explanation:
Think about it: There's 1/2 bag of oranges, and you wanna know what number of oranges used in the juice. Take 1/2, and divided it by 5. You get 0.1, then you should turn it into a fraction, giving you 1/10.
Answer: 0.1 OR 1/10
Step-by-step explanation:
5a+8+(-2a)=-7
I need help with this question especially because of the parenthesis
Answer:
5a+8+(-2a)=-7
5a+8-2a=-7
5a-2a=-7-8
3a=-15
3a/3=-15/3
a=-5
Answer:
a = -5
Step-by-step explanation:
Simplify both sides:
5a + 8 + (-2a) = -7
(5a + -2a) + 8 = -7
3a + 8 = -7
Start solving for a by subtracting 8 from both sides
3a+8-8 = -7 - 8
3a = -15
Next, divide both sides by 3
3a/3 = 1
-15/3 = -5
a = -5
Graph the line with slope of 53
5/3 and goes through the point (2,1).
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression
Answer:
Step-by-step explanation:
In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
At a sale, the $39.97 original price of the shirt was marked down to $15.99. About
what percent of decrease is this?
let America be America meaning
Answer:
Let America be America Again Analysis In Langston Hughe's poem “Let America be America Again” he talks about how America should return to the way that it was perceived to be in the dreams before America was truly America. Throughout the poem, he uses various methods to evoke the patriotic images and dreams that he feels America should and will eventually be. Hughes states that America is supposed to be a place of equality for everyone including both white and colored people.
Step-by-step explanation:
If it was helpful can I plz have a brainliest
I drive at 55 miles per hour, and my trip will takr 5 hours. Proportional or non proportional
Answer:
Proportional
Step-by-step explanation:
Here, we want to know if the distance at the given time will be proportional
What we will do here is to simply divide the distance by the time
Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour
So this means that in an hour, 11 miles will be traveled
This expression is proportional
Find the slope.of the line that passes through (7,5) and (3,12) simplify it
Answer:
there's no way to simplify 7/-4
in other formula it may be -4/7 but still can't be simplify.
in other way it will become a decimal
Step-by-step explanation:
1. Remember to make it as if it was a table.
2. Then you see if your #s are going decreasing or increasing(if they are decreasing that's a negative right there)
3.In the formula that I did the result of y is going over x but still works ;v
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation ([tex]\sigma[/tex]) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
[tex]n=(\dfrac{z^*\sigma}{E})^2[/tex], z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, [tex]\sigma[/tex] = 8.265, E = 1
So, [tex]n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}][/tex]
Hence, the number of first-year residents she must survey to be 95% confident= 263
Graph the line with slope of 4/3
and goes through the point (1,3)
ANSWER THIS FAST!
Answer:
Step-by-step explanation:
y=4/3 x +b
goes through the point (1,3)
3=4/3(1)+b
b=3-4/3
b=9-4/3
b=5/3
equation : y=4/3 x +5/3
The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.
What is Equation of line?
The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Given that;
The slope of line = 4/3
And, Point on line = (1, 3)
Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;
y - 3 = 4/3 (x - 1)
Solve as;
3 (y - 3) = 4 (x - 1)
3y - 9 = 4x - 4
3y = 4x - 4 + 9
3y = 4x + 5
y = 4/3x + 5/3
Thus, The equation of line will be;
y = 4/3x + 5/3
So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.
Learn more about the equation of line visit:
https://brainly.com/question/13763238
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